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Direct constructions of some group divisible designs with block size $4$ and up to $50$ points

R. Julian. R. Abel, Thomas Britz, Yudhistira A. Bunjamin, Diana Combe

Abstract

In this note, we give direct constructions of some group divisible designs (GDDs) with block size $4$ that have up to $50$ points.

Direct constructions of some group divisible designs with block size $4$ and up to $50$ points

Abstract

In this note, we give direct constructions of some group divisible designs (GDDs) with block size that have up to points.
Paper Structure (3 sections, 4 theorems, 5 equations, 5 tables)

This paper contains 3 sections, 4 theorems, 5 equations, 5 tables.

Table of Contents

  1. Introduction
  2. Direct constructions by assuming an automorphism
  3. Acknowledgements

Key Result

Lemma 2.2

There exists a $4$-GDD of type $2^6 5^2 11^2$.

Theorems & Definitions (9)

  • Example 2.1
  • Lemma 2.2
  • proof
  • Lemma 2.3
  • proof
  • Lemma 2.4
  • proof
  • Lemma 2.5
  • proof